The factor of the expression 9y² + 21yz⁴ - 8y² will be y and (y + 21z⁴).
What is factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ 9y² + 21yz⁴ - 8y²
Simplify the expression, then we have
⇒ 9y² + 21yz⁴ - 8y²
⇒ y² + 21yz⁴
Factorize the expression, then we have
⇒ y² + 21yz⁴
⇒ y(y + 21z⁴)
The factor of the expression 9y² + 21yz⁴ - 8y² will be y and (y + 21z⁴).
More about the factorization link is given below.
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the problem solving plan indentify step to organize your information which of the following answers choices are included in the steps to organize your information?
A) organize the problem and find the question
B) solve the problem and change your strategy if necessary
C) write the facts, organize your thoughts and define your strategy
D) organize the step and underline the question
that's the answer Just look at the picture's
An item priced at $500 is bought on hire purchase, where $200 deposit is required, along with 12 monthly instalments of $40. How much would be saved if bought with cash?
3. The lengths of 2 ski slopes are 625m and 760m. The horizontal distance from the start of the run to
the end of the run for both slopes is 300m.
a. What is the height of the higher ski slope to the nearest metre?
3. The lengths of 2 ski slopes are 625m and 760m. The horizontal distance from the start of the run to the end of the run for both slopes is 300m.
a. What is the height of the higher ski slope to the nearest metre?
DO THE MATH
Let f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s. Which statement best describes the meaning of f(250)? (2 points)
1. The house sold for $250,000.
2. The house stayed on the market for an average of 250 days before being sold.
3. This is the average number of days the house stayed on the market before being sold for $250,000.
4. The house sold on the market for $250,000 and stayed on the market for an average of 250 days before being sold.
f(p) where p is the price in thousands. f(250) means the average number of days before being sold for $250,000. Lets take a look at the answers and see which fits the best:
1. The house sold for $250,000. (This is what the 250 stands for, but we need to find what f(250) means and not just 250)
2. The house stayed on the market for an average of 250 days before being sold. (Nope, not even close)
3. This is the average number of days the house stayed on the market before being sold for $250,000. (Yes! This seems right, f(250) is the average number of days before being sold for $250,000)
4. The house sold on the market for $250,000 and stayed on the market for an average of 250 days before being sold. (Nope, we are not told anywhere that it takes 250 days to be sold)
This means that our answer has to be 3) This is the average number of days the house stayed on the market before being sold for $250,000.
I hope I've helped! :)
Answer:
f(p) where p is the price in thousands. f(250) means the average number of days before being sold for $250,000. Lets take a look at the answers and see which fits the best:1. The house sold for $250,000. (This is what the 250 stands for, but we need to find what f(250) means and not just 250)2. The house stayed on the market for an average of 250 days before being sold. (Nope, not even close)3. This is the average number of days the house stayed on the market before being sold for $250,000. (Yes! This seems right, f(250) is the average number of days before being sold for $250,000)4. The house sold on the market for $250,000 and stayed on the market for an average of 250 days before being sold. (Nope, we are not told anywhere that it takes 250 days to be sold)This means that our answer has to be 3) This is the average number of days the house stayed on the market before being sold for $250,000.
Karen purchased the DVD player shown in the sign on the right. Find the percent markdown rounded to the nearest percent. (SALE! Was $175.90. now $153.77)
HELP ME PLZZZ
Answer:
probably 2.................
Anyone wanna hope on a meet
Answer:
yes I would like to hope on a meet that will be fun
i need help please ill give u brainlist to who ever answer
easy one - giving brainly if correct - show work.
answer as many as you can!
Answer:
41. - 0.8
42. - 2.375
43. - 0.625
44. - 0.833
45. - 3.667
46. - 0.5
Step-by-step explanation:
Before reading this, every integer represents the whole amount, like 1 is 1 of something, 2 is 2 of something, 3 is 3 of something, and 4 is 4 of something.
1/5 = 0.2
1 - 0.2 = 0.8
1/4 = 0.25
1/8 = 0.125
1 + 1 = 2
0.25 + 0.125 = 0.375
2 + 0.375 = 2.375
3/8 = 0.375
1 - 0.375 = 0.625
2/3 = 0.667
1/2 = 0.5
4.5 - 3.667 = 0.833
1/2 = 0.5
1/6 = 0.167
2 + 1 = 3
0.5 + 0.167 = 0.667
3 + 0.667 = 3.667
1/4 = 0.25
0.25 x 2 = 0.5
Brainly?
if [tex]a_{1}[/tex]=4 and [tex]a_{n}[/tex]= [tex]5a_{n-1}[/tex]-1 then find the value of [tex]a_{3}[/tex]
========================================================
Explanation:
The first term is 4 because of the notation [tex]a_1 = 4[/tex]
To get the second term, we'll use the recursive equation [tex]a_n = 5(a_{n-1})-1[/tex] which basically says [tex]\text{nth term} = 5*(\text{previous term})-1[/tex]. To get the second term, we'll multiply the first term by 5, then subtract off 1.
2nd term = 5*(1st term) - 1
2nd term = 5*4 - 1
2nd term = 19
This means [tex]a_2 = 19[/tex]
We repeat this process again to find the third term [tex]a_3[/tex]
[tex]a_n = 5*(a_{n-1})-1\\\\a_3 = 5*(a_{3-1})-1\\\\a_3 = 5*(a_{2})-1\\\\a_3 = 5*(19)-1\\\\a_3 = 95-1\\\\a_3 = \boldsymbol{94}\\\\[/tex]
The third term is 94
Explain how 1 + 1 can be three.
Will mark brainliest
Answer:
1+1=2
1+1−52=2−52
(1+1−52)2=(2−52)2
(1+1−52)2=22−10+(52)2
(1+1−52)2=4−10+(52)2
(1+1−52)2=9–15+(52)2
(1+1−52)2=32–15+(52)2
(1+1−52)2=(3−52)2
1+1−52=3−52
1+1=3
Help please :)) This is timed as well as mind boggling
Answer: Choice C
==========================================================
Explanation:
Recall that the form
[tex]z = r*\left[\cos\left(\theta\right)+i*\sin\left(\theta\right)\right][/tex]
can be abbreviated to
[tex]z = r*\text{cis}(\theta)[/tex]
The "cis" stands for the first letters of "cosine i sine" in that order.
The original fairly messy quotient can be shortened down to
[tex]\frac{90\text{cis}(\pi/4)}{2\text{cis}(\pi/12)}[/tex]
We have 90cis(pi/4) all over 2cis(pi/12) as one big fraction.
-------------------------------
Now we'll use this rule to divide two complex numbers
[tex]z_1 = r_1*\text{cis}(\theta_1)\\\\z_2 = r_2*\text{cis}(\theta_2)\\\\\frac{z_1}{z_2} = \frac{r_1}{r_2}*\text{cis}(\theta_1-\theta_2)\\\\[/tex]
As you can see, we divide the r1 and r2 values to form the final coefficient out front. The theta angles are subtracted to form the new argument.
-------------------------------
Let's apply that idea to what your teacher gave you
[tex]z_1 = 90*\text{cis}(\pi/4)\\\\z_2 = 2*\text{cis}(\pi/12)\\\\\frac{z_1}{z_2} = \frac{90}{2}*\text{cis}(\pi/4 - \pi/12)\\\\\frac{z_1}{z_2} = 45\text{cis}(3\pi/12 - \pi/12)\\\\\frac{z_1}{z_2} = 45\text{cis}(2\pi/12)\\\\\frac{z_1}{z_2} = 45\text{cis}(\pi/6)\\\\[/tex]
That last step then converts directly to the expression shown in choice C.
Frank wants to be an astronaut when he grows up. Last weekend, the science center had an interactive space station exhibit. Frank bought a 3-day pass so he could go every day. Since he bought a multiday pass, he saved $10. Frank paid $56 in all. How much does a day at the science center normally cost?
Pls answer i need help asap lol, No links (30 points + brainly)
How long will it take each student plan to be paid down to $1000?
The corresponding answers for each student plan are:
plan A: 15 years
plan B: 5 years
plan C: 10 years
plan D: 9 years
Thus, first, the graph corresponding to each of the plans must be analyzed. The Y-axis corresponds to money and the x-axis corresponds to the time in years.
Thus, in-plane A, it can be observed that to reach the desired value, the graph will be projected in exponential, so it will be close to 15 years. In plan B, this projection will be reached around 5 years. In plans C and D, this projection will be 10 years and 9 years respectively.
2. Three vertices of a parallelogram are
given as coordinates (-4, 2), (-2, 4), and
(1, -3) in the graph. Which coordinates
best represent the location of the fourth
vertex of the parallelogram?
o
F. (3, 1)
G. (3, -1)
H. (1, -3)
1. (-1,3
HELPP MEEE PLSSS
Answer:
I think g would be correct
2. Using 50 for the number of weeks in a year is a(n) exponent
hundredths
overestimate
partial products
power
round
tenths
thousandths
underestimate
which one?
There are 52 weeks in a year.
Using 50 for the number of weeks in a year is a(n) round.
Rounding is a process which we approximate the known number by just scaling it up or down.
In rounding the numbers less than 5 are scaled to one number less than the given integer and numbers such as 5 or above than 5 are scaled a number greater than the given number .
For example if there were 55 or more than weeks in a year we can say there are approximately 60 weeks in a year.
But there are 52 weeks so we round it to 50 weeks as 2 is less than 5.
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solve for x:
4x-14=-2x+24
Answer: 6 1/3
Step-by-step explanation:
4x-14 = -2x+24
4x = -2x+24 + 14 [Add 14 to both sides]
4x + 2x = 24 + 14 [Add 2x to both sides]
6x = 38 {Combine like terms]
x = (19/3) or 6 1/3
A hot air balloon is at an elevation of 425 feet. It descends 110 feet what is the elevation of the balloon?
Answer:
315
425 + -115 = 315 feet
Step-by-step explanation:
Answer:
The balloon will be at an elevation of 315 feet.
Step-by-step explanation:
425-110=315
If -2 is a zero of P(x) = 2x²- 3x( 5k+4) then k = ____.
Brainly Challange for high level user.
Answer:
k = - [tex]\frac{16}{15}[/tex]
Step-by-step explanation:
Since x = - 2 is a zero , then p(- 2) = 0 , that is
2(- 2)² - 3(- 2)(5k + 4) = 0
2(4) + 6(5k + 4) = 0 ← distribute parenthesis
8 + 30k + 24 = 0
30k + 32 = 0 ( subtract 32 from both sides )
30k = - 32 ( divide both sides by 30 )
k = [tex]\frac{-32}{30}[/tex] = - [tex]\frac{16}{15}[/tex]
Given Polynomial P(x) = 2x^2-3x(5k+4)
Zero = -2
We know that
If -2 is zero of the Polynomial then it satisfies the given Polynomial
⇛P(-2) = 0
⇛ 2(-2)^2-3(-2)(5k+4)=0
⇛ 2(4)+6(5k+4) = 0
⇛ 8+30k+24 = 0
⇛ 30k+32 = 0
⇛ 30 k = -32
⇛ k = -32/30
⇛ k = -16/15
Answer:- The value of k = -16/15.
Read more:
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what is the volume of the prism ?
Answer:
150 units squared
Step-by-step explanation:
Jenifer is the high scorer on his basketball team. He made 36 free throws out of 50 free throws attempted. What was his percentage of free throw shots made?
Answer:
72%
Step-by-step explanation:
36/50 = 0.72
0.72 x 100 = 72%
i need help: solve (4x^(6))^((3)/(2))
Answer:
(4x^{(6)})^{(\frac{(3)}{(2)})}
(4x(6))((2)(3))
Step-by-step explanation:
I think that's the answer
help for this question, please and thanks
Answer:
a = 3
b = -1
c = -5
d = -7
Step-by-step explanation:
to find each letter, put the corresponding 'x' value into the y-equation and solve:
for 'a': y = -2(-3) + (-3) = 6 + (-3) = 3
for 'b': y = -2(-1) + (-3) = 2 + (-3) = -1
for 'c': y = -2(1) + (-3) = -2 + (-3) = -5
for 'd': y = -2(2) + (-3) = -4 + (-3) = -7
Hello, this is my brother's homework. I'm a little bit confused since I studied this lesson a long time ago..Can someone help me? I am not sure about my answer
Which capacities are written in order from least to greatest?
A.2L, 2900mL, 250cl, 24dL
B.2L, 24dL, 250cL, 2900mL
C.2900mL, 250cL, 2L, 24dL
D.2900mL, 2L, 250cL, 24dL
Answer:
B
Step-by-step explanation:
A. 2L, 2.9L, 2.5L, 2.4L
B. 2L, 2.4L, 2.5L, 2.9L
C. 2.9L, 2.5L, 2L, 2.4L
D. 2.9L, 2L, 2.5L, 2.4L
Answer:
what is in order from least to greatest is B
Step-by-step explanation:
as we know 1L = 10dL = 100cL = 1000mL so that we have 2L then 24dL (2.4L) then 250cL (2.5L) then 2900mL (29L)
Substitute x = 9 and solve for B
3x + 10 = b
Answer:
b = 37
Step-by-step explanation:
3x + 10 = b
(3 x 9) + 10 = 27
27 + 10 = 37
Answer:
b Is 37
Step-by-step explanation:
x Is 9
instead of x you write 9
3x mean 3×X
3×X+10= 3×9+10=27+10=37
Find the perimeter. Simplify your answer.
Answer:
26s+24
Step-by-step explanation:
2(3s+9) +2(10s+3)
6s +18+20s +6
26s +24= perimeter
The following machine doubles each input, subtracts 3, and then squares the result. (check photo) For example, if we input 5, then double 5 to get 10, subtract 3 to get 7, and finally square 7 to get 49.
-Write the expression that comes out of the machine if the input is 4.
Use ^ to express exponents. For example. 3² = 3^2
-If 121 is the output, what was the input?
Answer:
Step-by-step explanation:
What is are the steps for multiplying (0.03)(-0.02)
Answer: (0.03)(-0.02) = -0.0006
Step-by-step explanation:
Step 1: Remove the Parenthesis
(0.03)(-0.02) → 0.03 ⋅ 0.02
Step 2: Multiply
0.03 ⋅ 0.02 = -0.0006
, Hope this helps :)
Have a great day!!
given m||n, determine the value of x (4x-7) (3x+9)
Step-by-step explanation:
7×4-=28-×3×9=27×28-=756-
Need help will give brainliest!!
Answer:
Step-by-step explanation:
zoom factor=1/2
new dimensions=11/2,16/2
or 5.5 ,8
HELP!!! I WILL GIVE BRAINLIEST!!!!
1.Find f(4) if f(x) = (1/2)x + 13
2.Find f(5) if f(x) = (3/5)x - 10
3.Find f(-1) if f(x) = x2 + 7
4.Find f(2) if f(x) = 3x3 -12x2
Answer:
15, - 7, 8, - 24
Step-by-step explanation:
1
f(4) = [tex]\frac{1}{2}[/tex] × 4 + 13 = 2 + 13 = 15
2
f(5) = [tex]\frac{3}{5}[/tex] × 5 - 10 = 3 - 10 = - 7
3
f(- 1) = (- 1)² + 7 = 1 + 7 = 8
4
f(2) = 3(2)³ - 12(2)² = 3(8) - 12(4) = 24 - 48 = - 24